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Finding the Fourth Proportional to 2,284.56, 3,420.72 and 1,820.16

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Solution

The fourth proportional to 2,284.56, 3,420.72 and 1,820.16 is: 2,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.56 : 3,420.72 = 1,820.16 : x
  2. Step 2: Convert to fraction form
    2,284.56/3,420.72 = 1,820.16/x
  3. Step 3: Cross multiply
    2,284.56x = 3,420.72 × 1,820.16
  4. Step 4: Simplify right side
    2,284.56x = 6,226,257.72
  5. Step 5: Solve for x
    x = 6,226,257.72/2,284.56
  6. Step 6: Final answer
    x = 2,725.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.